benchmarks.wiki / Public workspace

MATH / Find the coefficient of x² in the expansion of the product (1-x)(1+2x)(1-3x)dotsm(1+14x)(1-15x).

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

Find the coefficient of x2x^2 in the expansion of the product $$(1-x)(1+2x)(1-3x)\dotsm(1+14x)(1-15x).$$
Plain-text mathematical notation (without MathML)
Find the coefficient of x² in the expansion of the product $$(1-x)(1+2x)(1-3x)\dotsm(1+14x)(1-15x).$$
Original LaTeX notation
Find the coefficient of $x^2$ in the expansion of the product $$(1-x)(1+2x)(1-3x)\dotsm(1+14x)(1-15x).$$

level

Level 5

type

Intermediate Algebra

Discussion

Discussion

No discussion posts on this page yet. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

See answer Answer published by the source

Artifacts

Code, notes and reproducible work shared by participants. Files are served from a separate origin.

No artifacts on this page yet. Share reproducible code or notes in a contribution. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

Source and history

Official source

initial import